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Finding the Fourth Proportional to 6,556.83, 9,835.11 and 1,626.41

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Solution

The fourth proportional to 6,556.83, 9,835.11 and 1,626.41 is: 2,439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.83 : 9,835.11 = 1,626.41 : x
  2. Step 2: Convert to fraction form
    6,556.83/9,835.11 = 1,626.41/x
  3. Step 3: Cross multiply
    6,556.83x = 9,835.11 × 1,626.41
  4. Step 4: Simplify right side
    6,556.83x = 15,995,945.84
  5. Step 5: Solve for x
    x = 15,995,945.84/6,556.83
  6. Step 6: Final answer
    x = 2,439.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.